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Finding the Fourth Proportional to 20,779, 31,146.63 and 12,463.54

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Solution

The fourth proportional to 20,779, 31,146.63 and 12,463.54 is: 18,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779 : 31,146.63 = 12,463.54 : x
  2. Step 2: Convert to fraction form
    20,779/31,146.63 = 12,463.54/x
  3. Step 3: Cross multiply
    20,779x = 31,146.63 × 12,463.54
  4. Step 4: Simplify right side
    20,779x = 388,197,268.87
  5. Step 5: Solve for x
    x = 388,197,268.87/20,779
  6. Step 6: Final answer
    x = 18,682.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.